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Finding the Third Proportional to 114.75 and 257.25

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Solution

The third proportional to 114.75 and 257.25 is: 576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 257.25 = 257.25 : x
  2. Step 2: Convert to fraction form
    114.75/257.25 = 257.25/x
  3. Step 3: Cross multiply
    114.75x = 257.25 × 257.25
  4. Step 4: Simplify right side
    114.75x = 66,177.56
  5. Step 5: Solve for x
    x = 66,177.56/114.75
  6. Step 6: Final answer
    x = 576.71

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.